Online GCD Calculator is useful to find the GCD of 216, 428, 297, 300 quickly. Get the easiest ways to solve the greatest common divisor of 216, 428, 297, 300 i.e 1 in different methods as follows.
Given Input numbers are 216, 428, 297, 300
In the factoring method, we have to find the divisors of all numbers
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
GCD of numbers is the greatest common divisor
So, the GCD (216, 428, 297, 300) = 1.
Given numbers are 216, 428, 297, 300
The list of prime factors of all numbers are
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 428 are 2 x 2 x 107
Prime factors of 297 are 3 x 3 x 3 x 11
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 216, 428, 297, 300
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(216, 428) = 23112
GCD(216, 428) = ( 216 x 428 ) / 23112
= 216 / 428
= 216
Step2:
LCM(4, 297) = 1188
GCD(4, 297) = ( 4 x 297 ) / 1188
= 4 / 297
= 4
Step3:
LCM(1, 300) = 300
GCD(1, 300) = ( 1 x 300 ) / 300
= 1 / 300
= 1
So, Greatest Common Divisor of 216, 428, 297, 300 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 216, 428, 297, 300
The greatest common divisor of numbers 216, 428, 297, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 428, 297, 300 is 1.
1. What is the GCD of 216, 428, 297, 300?
GCD of given numbers 216, 428, 297, 300 is 1
2. How to calculate the greatest common divisor of 216, 428, 297, 300?
We can find the highest common divisor of 216, 428, 297, 300 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 216, 428, 297, 300 i.e 1.
3. How can I use the GCD of 216, 428, 297, 300Calculator?
Out the numbers 216, 428, 297, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.